The zero structure of a rational matrix \(R(\lambda )\in \mathbb {C}(\lambda )^{m\times n}\)  is comprised by the set of its zeros (finite and infinite) and their partial multiplicities. The sum of the partial multiplicities of all the zeros (finite and infinite) of \(R(\lambda )\)  is called the zero degree \(\delta _z (R)\)  of \(R(\lambda )\) . The pole (or polar) structure of a rational matrix \(R(\lambda )\in \mathbb {C}(\lambda )^{m\times n}\)  is comprised by the set of its poles (finite and infinite) and their partial multiplicities. The sum of the partial multiplicities of all the poles (finite and infinite) of \(R(\lambda )\)  is called the polar degree \(\delta _p (R)\)  of \(R(\lambda )\) , or, also, the McMillan degree of \(R(\lambda )\)  [1]}.
